JournalsrsmupVol. 133pp. 79–90

Finite pp-supersoluble groups with some EE-SS-supplemented subgroups

  • Changwen Li

    Xuzhou Normal University, China
  • Xiaolong Yu

    University of Scinece and Technology of China, Hefei, Anhui, China
  • Na Tang

    Huaiyin Normal University, China
Finite $p$-supersoluble groups with some $E$-$S$-supplemented subgroups cover
Download PDF

Abstract

Let HH be a subgroup of a group GG and HeGH_{eG} denote the subgroup of HH generated by all those subgroups of HH which are SS-permutably embedded in GG. HH is said to be EE-SS-supplemented in GG if there exists a subnormal subgroup TT of GG such that G=HTG=HT and HTHeGH\cap T\leq H_{eG}. In this paper, we investigate the influence of some EE-SS-supplemented subgroups on the structure of finite group. Some new characterizations of pp-supersoluble groups are obtained.

Cite this article

Changwen Li, Xiaolong Yu, Na Tang, Finite pp-supersoluble groups with some EE-SS-supplemented subgroups. Rend. Sem. Mat. Univ. Padova 133 (2015), pp. 79–90

DOI 10.4171/RSMUP/133-3